Predicate Calculus and Program Semantics

Author:   Edsger W. Dijkstra ,  Carel S. Scholten
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1990
ISBN:  

9781461279242


Pages:   220
Publication Date:   26 September 2011
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Predicate Calculus and Program Semantics


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Overview

This booklet presents a reasonably self-contained theory of predicate trans­ former semantics. Predicate transformers were introduced by one of us (EWD) as a means for defining programming language semantics in a way that would directly support the systematic development of programs from their formal specifications. They met their original goal, but as time went on and program derivation became a more and more formal activity, their informal introduction and the fact that many of their properties had never been proved became more and more unsatisfactory. And so did the original exclusion of unbounded nondeterminacy. In 1982 we started to remedy these shortcomings. This little monograph is a result of that work. A possible -and even likely- criticism is that anyone sufficiently versed in lattice theory can easily derive all of our results himself. That criticism would be correct but somewhat beside the point. The first remark is that the average book on lattice theory is several times fatter (and probably less self­ contained) than this booklet. The second remark is that the predicate transformer semantics provided only one of the reasons for going through the pains of publication.

Full Product Details

Author:   Edsger W. Dijkstra ,  Carel S. Scholten
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1990
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.371kg
ISBN:  

9781461279242


ISBN 10:   1461279240
Pages:   220
Publication Date:   26 September 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. On structures.- 2. On substitution and replacement.- 3. On functions and equality.- 4. On our proof format.- 5. The calculus of boolean structures.- 6. Some properties of predicate transformers.- 7. Semantics of straight-line programs.- 8. Equations in predicates and their extreme solutions.- 9. Semantics of repetitions.- 10. Operational considerations.- 11. Converse predicate transformers.- 12. The strongest postcondition.

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